Abstract While there has been much research concerning how adults understand the social power, recently researchers have been increasingly interested in how children conceptualize social power. Social power understanding is an important aspect of children’s social cognition, which can be reflected on the level of social dominance and social status. From early on, children can use different cues to judge social power, and based on these cues their cognition of social power are adaptive in evolutionary fitness. Meanwhile, children’s understanding of social power develops across the whole childhood. While younger children are more likely to acknowledge the way to get social power with dominance, older children prefer the way to get social power basing on prestige. Children’s cognition of social power can influence their selective trust, resource allocation, and prosocial behavior. Future research should consider the underlying mechanism of children’s social power cognition, and examine the processing mechanism of the relationship between children’s social power cognition and their social behavior. Moreover, cultural factor and early social interactive experience should be concerned to contribute to children’s cognition of social power.